λ
Sigma Notebook

8,947,871

312 × 9311
Deficient Odd Composite

8,947,871 is odd and not a perfect square. Its factorization is 31^2 × 9311 and its 6 divisors sum to 9,246,816.

Prime Factor Structure

Factorization String 31^2 × 9311
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 9,246,816
Proper Divisor Sum 298,945
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #8947853 ← → #8947889

Radix Representation

Decimal 8947871
Binary 100010001000100010011111 (24 bits)
Octal 0o42104237
Hexadecimal 0x88889F

Divisor Catalog (6)

1 31 961 9,311 288,641 8,947,871

Collatz Trajectory (287 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,947,871 26,843,614 13,421,807 40,265,422 20,132,711 60,398,134 30,199,067 90,597,202 45,298,601 135,895,804 67,947,902 33,973,951 101,921,854 50,960,927 152,882,782 76,441,391 229,324,174 114,662,087 343,986,262 171,993,131 515,979,394 257,989,697 773,969,092 386,984,546 193,492,273 580,476,820 290,238,410 145,119,205 435,357,616 217,678,808 108,839,404 54,419,702 27,209,851 81,629,554 40,814,777 122,444,332 61,222,166 30,611,083 91,833,250 45,916,625 137,749,876 68,874,938 34,437,469 103,312,408 51,656,204 25,828,102 12,914,051 38,742,154 19,371,077 58,113,232 29,056,616 14,528,308 7,264,154 3,632,077 10,896,232 5,448,116 2,724,058 1,362,029 4,086,088 2,043,044

More profiles

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